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Accumulated Other Comprehensive Items - Reclassification Out of AOCI (Details) - USD ($) $ in Thousands | 12 Months Ended
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Jan. 01, 2022 | Jan. 02, 2021 | Dec. 28, 2019
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items] |  |  |
Other expense, net | $ (104) | $ (195) | $ (6,359)
Total expense before income taxes | 112,052 | 73,687 | 68,922
Income tax benefit (provision) | (27,171) | (17,948) | (16,358)
Interest expense | (4,821) | (7,423) | (12,755)
Cost of revenue | (449,214) | (357,722) | (410,884)
SG&A expense | (208,787) | (181,905) | (192,525)
Net Income | 84,881 | 55,739 | 52,564
Reclassification out of Accumulated Other Comprehensive Income |  |  |
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items] |  |  |
Net Income | (269) | (200) | (6,727)
Reclassification out of Accumulated Other Comprehensive Income | Retirement Benefit Plans |  |  |
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items] |  |  |
Total expense before income taxes | (62) | (121) | (5,963)
Income tax benefit (provision) | 17 | 153 | (641)
Net Income | (45) | 32 | (6,604)
Reclassification out of Accumulated Other Comprehensive Income | Recognized net actuarial loss |  |  |
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items] |  |  |
Other expense, net | (50) | (66) | (70)
Reclassification out of Accumulated Other Comprehensive Income | Amortization of prior service cost |  |  |
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items] |  |  |
Other expense, net | (12) | (55) | (6)
Reclassification out of Accumulated Other Comprehensive Income | Pension plan settlement loss |  |  |
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items] |  |  |
Other expense, net | 0 | 0 | (5,887)
Reclassification out of Accumulated Other Comprehensive Income | Cash Flow Hedges |  |  |
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items] |  |  |
Total expense before income taxes | (294) | (305) | (177)
Income tax benefit (provision) | 70 | 73 | 54
Net Income | (224) | (232) | (123)
Reclassification out of Accumulated Other Comprehensive Income | Cash Flow Hedges | Interest Rate Swap Agreements |  |  |
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items] |  |  |
Interest expense | (451) | (333) | (8)
Reclassification out of Accumulated Other Comprehensive Income | Cash Flow Hedges | Forward Currency- Exchange Contracts |  |  |
Reclassification Adjustment Out Of Accumulated Other Comprehensive Items [Line Items] |  |  |
Cost of revenue | 0 | 28 | (169)
SG&A expense | $ 157 | $ 0 | $ 0

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